Question

Transform the linear equation 4x−8y=24 to slope-intercept form.(1 point)

y=12x−3

4x−8y=24

4x−8y−24=0

−8y=−4x+24

Answer 1

To transform the linear equation \( 4x - 8y = 24 \) into slope-intercept form (\( y = mx + b \)), follow these steps:

1. Start with the original equation:
\[
4x - 8y = 24
\]

2. Rearrange the equation to isolate the \( y \) variable. Subtract \( 4x \) from both sides:
\[
-8y = -4x + 24
\]

3. Divide every term by \( -8 \) to solve for \( y \):
\[
y = \frac{-4}{-8}x + \frac{24}{-8}
\]
\[
y = \frac{1}{2}x - 3
\]

So, the equation in slope-intercept form is:
\[
y = \frac{1}{2}x - 3
\]

None of the options you provided seem to match this correct transformation. However, it appears the intention may have been to take one step before the final answer, which would be:
\[
-8y = -4x + 24
\]

So, the step \( -8y = -4x + 24 \) is correct as an intermediate step in the process.